The perturbed Laplace operator in a weighted L2-space
β Scribed by D. Eidus
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 416 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The purpose of the present paper is twofold. The first object is to study the Laplace equation with inhomogeneous Dirichlet and Neumann boundary conditions in the halfβspace of β^__N__^. The behaviour of solutions at infinity is described by means of a family of weighted Sobolev spaces.
In a curvilinear coordinate system with metric tensor G, the Laplace-Beltrami operator V 2 expresses the Laplacian in terms of partial derivatives with respect to the coordinates. This paper describes a simplifying transformation, useful in curvilinear coordinate systems with a nondiagonal G, where